Global Exponential Asymptotic Stability in Nonlinear Discrete Dynamical Systems

Global Exponential Stability of Impulsive Dynamical Systems with Distributed Delays

In this paper, the global exponential stability of dynamical systems with distributed delays and impulsive effect is investigated. By establishing an impulsive differential-integro inequality, we obtain some sufficient conditions ensuring the global exponential stability of the dynamical system. Three examples are given to illustrate the effectiveness of our theoretical results.

Global Exponential Stability of Delayed Periodic Dynamical Systems

In this paper, we discuss delayed periodic dynamical systems, compare capability of criteria of global exponential stability in terms of various L (1 ≤ p < ∞) norms. A general approach to investigate global exponential stability in terms of various L (1 ≤ p < ∞) norms is given. Sufficient conditions ensuring global exponential stability are given, too. Comparisons of various stability criteria ...

Exponential Stability of Nonlinear Nonautonomous Multivariable Discrete Systems

The basic method for the stability analysis of nonlinear time-discrete systems is the Lyapunov functions one, cf. [1,2]. By this method many very strong results are obtained, but finding Lyapunov’s functions is often connected with serious mathematical difficulties. Explicit stability stability conditions for nonlinear multivariable systems are established mainly in the case of autonomous linea...

A Global Asymptotic Stability Result for a Class of Totally Asynchronous Discrete Nonlinear Systems

This paper proves a global stability result for a class of nonlinear discrete-time systems that are subject to regular desynchronization, also known as total asynchronism. The class of systems studied has its origins in a discrete-time neural net model. The techniques used are of interest in terms of the use of Lyapunov function for the study of convergence of asynchronous nonlinear dynamical s...

Mildly dissipative nonlinear Timoshenko systems — global existence and exponential stability